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Correction and addendum to: 'On algebras of finite representation type'
- Source :
- Transactions of the American Mathematical Society. 144:565-568
- Publication Year :
- 1969
- Publisher :
- American Mathematical Society (AMS), 1969.
-
Abstract
- In this note we retain the notation and terminology of our original paper [2]. Our purpose is to repair the statement and proof of Theorem 2.3 of [2], and using its generalization (Theorem A below) as a prototype, we can by use of an extension of Corollary 3.3 of [2] (Theorem B below) remove the weighty hypothesis of "large kernels" from Theorems 3.4, 3.5, 3.6 and Corollary 3.7 of [2]. This latter task derives some urgency from the conjecture of J. P. Jans [3] that an algebra with large kernels has finite module type. This conjecture, if true, would of course annihilate any importance of the above-mentioned results of [2] in its original form as far as the Brauer-Thrall conjecture is concerned(1). CORRECTION 1. The statement of Theorem 2.3 of [2] should read as follows
Details
- ISSN :
- 10886850 and 00029947
- Volume :
- 144
- Database :
- OpenAIRE
- Journal :
- Transactions of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....ee71d608063b979d68b036c8a5bf935f